TEKS.MATH.9-12.VII.B.2

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

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TEKS.MATH.9-12.VII.B.2

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31
• f(g(x))= -6x²+24
• f(g(x))=18x²-84x+6
• f(g(x))=9x²-42x-1

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TEKS.MATH.9-12.VII.B.2

What is the inverse of the function?

• f^-1(x) = √(x - 2)
• f^-1(x) = √(x + 2)
• f^-1(x) = ± √(x + 2)
• f^-1(x) = ± √(x - 2)

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TEKS.MATH.9-12.VII.B.2

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

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TEKS.MATH.9-12.VII.B.2

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)

What is the domain and range of the inverse?

• D: [3, ∞)

  R: (-∞, ∞)

• D: (-∞, ∞)

  R: [3, ∞)

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TEKS.MATH.9-12.VII.B.2

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

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TEKS.MATH.9-12.VII.B.2

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $f\left(g\left(x\right)\right)$  

•  $4x^2-1$  

•  $4x^2-2$  

•  $8x^2-1$  

•  $16x^2-1$  

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TEKS.MATH.9-12.VII.B.2

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $g\left(f\left(x\right)\right)$  

•  $4x^2-1$  

•  $4x^2-2$  

•  $8x^2-1$  

•  $16x^2-1$  

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TEKS.MATH.9-12.VII.B.2

Which of the following represents a function that has been horizontally compressed by a factor of $\frac{1}{4}$  ?

•  $4f\left(x\right)$  

•  $\frac{1}{4}f\left(x\right)$  

•  $f\left(\frac{1}{4}x\right)$  

•  $f\left(4x\right)$  

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TEKS.MATH.9-12.VII.B.2

The parent function  $f\left(x\right)=3^x$  has been shifted to the left 2 units, reflected vertically over the x-axis, and shifted up 5 units. What equation models the transformed graph? 

•  $f\left(x\right)=-3^{x-2}+5$  

•  $f\left(x\right)=3^{x-2}-5$  

•  $f\left(x\right)=-3^{x+2}+5$  

•  $f\left(x\right)=3^{x+2}-5$  

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TEKS.MATH.9-12.VII.B.2